Asymptotic solution of a nonlinear advection-diffusion equation

DOI10.1090/S0033-569X-2011-01214-XzbMath1221.35067OpenAlexW1965149147MaRDI QIDQ3015265

Romain de Loubens, T. S. Ramakrishnan

Publication date: 11 July 2011

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/journals/qam/2011-69-02/S0033-569X-2011-01214-X/home.html

zbMATH Keywords

compactly supported initial datamoving boundary layer

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58)

Related Items (6)

A family of analytical solutions of a nonlinear diffusion-convection equation ⋮ Nonlinear waves in electromigration dispersion in a capillary ⋮ Lie symmetry analysis and conservation laws for the time fractional generalized advection-diffusion equation ⋮ Analytical solutions to a nonlinear diffusion-advection equation ⋮ Late-time asymptotic solution of nonlinear advection-diffusion equations with equal exponents ⋮ Fluid transport in geological reservoirs with background flow

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• Analysis and computation of gravity-induced migration in porous media
• Asymptotic behaviour of supports of solutions of quasilinear many-dimensional parabolic equations of non-stationary diffusion-convection type
• Long-time behaviour for porous medium equations with convection
• Asymptotic solutions of a generalized Burgers equation
• Asymptotic Solution of a Model Non-linear Convective Diffusion Equation

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